Mechanisms Supporting Cooperation for the Evolutionary Prisoner΄s Dilemma Games.

We survey the evolutionary Prisoner΄s Dilemma games where players are located on the sites of a graph, their income comes from games with the neighbors, and the players try to maximize their income by adopting one of the successful neighboring strategies with a probability dependent on the payoff difference. We discuss briefly the mechanisms supporting the maintenance of cooperation if the players are located on a lattice or on the so-called scale-free network. In the knowledge of these mechanisms we can introduce additional personal features yielding relevant improvement in the maintenance of cooperative behavior even for a spatial connectivity structure. Discussing several examples we show that the efficiency of these mechanisms can be improved by considering co-evolutionary games where players are allowed to modify not only their strategy but also the connectivity structure and their capability to transfer their strategy. [ABSTRACT FROM AUTHOR]